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Finding the Fourth Proportional to 567.05, 849.20 and 502.13

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Solution

The fourth proportional to 567.05, 849.20 and 502.13 is: 751.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.05 : 849.20 = 502.13 : x
  2. Step 2: Convert to fraction form
    567.05/849.20 = 502.13/x
  3. Step 3: Cross multiply
    567.05x = 849.20 × 502.13
  4. Step 4: Simplify right side
    567.05x = 426,402.04
  5. Step 5: Solve for x
    x = 426,402.04/567.05
  6. Step 6: Final answer
    x = 751.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.